So far the story seems equivalent to the cases of \(4d\)  \(SU(N)\)  with \(F<N\)  flavors of [1]} and \(Sp(N)\)  with \(F \le N+1\)  flavors of [1]}, [3]} . The difference is that for \(4d\)  \(SU(N)\)  with \(N\)  flavors, when we study the massive vacua of the \(3d\)  \(\mathcal {N}=1\)  models, we do not find perfect matchings between dual \(3d\)  theories in REF  and REF , and with the \(4d\)  analysis of the previous section. More precisely, the vacuum structure of (REF ) does match the \(4d\)  analysis if \(k < \frac{N}{2}\) , but it does not if \(k>\frac{N}{2}\)  (the \(3d\)  theory (REF ) has additional vacua not seen in \(4d\)  or in the \(3d\)  dual). As for \(Sp(N)\)  with \(F = N+2\)  in [3]}, this phenomenon should be due to strong coupling effects present in our \(3d\)  models when \(k>\frac{N}{2}\) .
